<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">JCC</journal-id><journal-title-group><journal-title>Journal of Computer and Communications</journal-title></journal-title-group><issn pub-type="epub">2327-5219</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jcc.2015.33009</article-id><article-id pub-id-type="publisher-id">JCC-54730</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Computer Science&amp;Communications</subject></subj-group></article-categories><title-group><article-title>
 
 
  Design of an 868 MHz Printed S-Shape Monopole Antenna
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Gerard</surname><given-names>Rushingabigwi</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Liguo</surname><given-names>Sun</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Electronic Engineering and Information Science, University of Science and Technology of China (USTC), Hefei, China</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>gerard@mail.ustc.edu.cn(GR)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>17</day><month>03</month><year>2015</year></pub-date><volume>03</volume><issue>03</issue><fpage>49</fpage><lpage>55</lpage><history><date date-type="received"><day>January</day>	<month>2015</month></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
   The purpose of this work is to design and analyze an s-shaped printed circuit board (PCB) monopole antenna. The antenna was analyzed to operate at a resonance frequency band of 868 MHz; acceptable in 915 MHz as well. The s-shape is selected due to the need of reducing the overall size of the normal monopole antenna. The printed antenna was designed with an approximate overall size of 39 &#215; 56 mm<sup>2</sup> of which the antenna’s upper side is 26 &#215; 39 mm<sup>2</sup> while its reference ground board was sized at 39 &#215; 30 mm<sup>2</sup>. The antenna is fed by a strip line of 3 &#215; 1.5 mm<sup>2</sup>, in series with a 4.4 pF capacitance and shunt with an 8.7 nH inductance for purpose of antenna’s impedance matching with the input. A couple of existing publications showed that PCB antenna is not a new technology; however not an old technology for telecommunication industry. The raised problem by this work was duly solved with HFSS as a tool; excellent results are presented. After duly matching the antenna’s impedance with 50 Ω microstrip feed-line, solutions for overall performance were analyzed and demonstrated optimal: radiation patterns were proven omnidirectional, antenna gain optimized. The present antenna prototype’s overall dimensions can be readjusted according to any industrial and manufacturing requests. 
 
</p></abstract><kwd-group><kwd>Design of an 868 MHz Printed S-Shape Monopole Antenna</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Most monopole antennas commonly refer to quarter wavelengths (λ/4); derivatives of dipoles where one element is folded into the ground (GND) and serves as the second radiator [<xref ref-type="bibr" rid="scirp.54730-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.54730-ref2">2</xref>]. The first derivatives of the monopole are the inverted-L and inverted-F antennas [<xref ref-type="bibr" rid="scirp.54730-ref3">3</xref>]-[<xref ref-type="bibr" rid="scirp.54730-ref6">6</xref>]. The antenna length is an important parameter and it is influenced by the dielectric constant of the material in the reactive near field. According to [<xref ref-type="bibr" rid="scirp.54730-ref2">2</xref>], calculation of the effective dielectric constant <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x5.png" xlink:type="simple"/></inline-formula> for both the half-wave dipole and the quarter-wave monopole is approximated in (1).</p><disp-formula id="scirp.54730-formula600"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/54730x6.png"  xlink:type="simple"/></disp-formula><p>where h is the thickness of substrate or PCB material; W is the trace width of the dipole arms, decided to 2 mm in this case [<xref ref-type="bibr" rid="scirp.54730-ref7">7</xref>]-[<xref ref-type="bibr" rid="scirp.54730-ref11">11</xref>]. The working or effective wavelength <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x7.png" xlink:type="simple"/></inline-formula> for most antennas is then given by the formu-</p><p>la in (2), <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x8.png" xlink:type="simple"/></inline-formula>(2); knowing the free space wavelength, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x9.png" xlink:type="simple"/></inline-formula>(3); whereby <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x10.png" xlink:type="simple"/></inline-formula> is the</p><p>speed of light and f is the working frequency in Hertz (Hz).</p></sec><sec id="s2"><title>2. The Proposed s-Shape Monopole Antenna Structure</title><p>As per Equations (1)-(3), normal monopole antennas to work with industrial, scientific and medical (ISM) band of 868 MHz and 915 MHz would be presenting the length sizes according to <xref ref-type="table" rid="table1">Table 1</xref>.</p><p>Nonetheless, irrespective of the calculated lengths in <xref ref-type="table" rid="table1">Table 1</xref>, the proposed s-shape antenna will utilize almost half of the overall length. It is to note that s-shape, snakelike shape as well as Meander shape are interchangeable names [<xref ref-type="bibr" rid="scirp.54730-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.54730-ref7">7</xref>]. The proposed s-shaped monopole antenna’s design model is illustrated in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p></sec><sec id="s3"><title>3. The Antenna Design, Analysis and Discussions</title><p>The software tool that was utilized for the design tasks is Ansoft HFSS [<xref ref-type="bibr" rid="scirp.54730-ref2">2</xref>]. According to the necessary problem solving steps, the solution type for the present model is set to driven terminal. It normally calculates the terminal-based s-parameters of multi-conductor transmission line ports. The s-shaped monopole antenna element together with the feed-line as well as the ground boards (top and bottom) are all assigned with finite conductivity boundary. It is one of the advanced boundary conditions. The rectangular port designed at 0.8 &#215; 1.5 mm<sup>2</sup> is assigned the lumped port excitation.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Theoretical monopole lengths</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="5"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x11.png" xlink:type="simple"/></inline-formula>on a 0.8 mm thick FR-4 PCB, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x12.png" xlink:type="simple"/></inline-formula></th></tr></thead><tr><td align="center" valign="middle" >Frequency (MHz)</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x13.png" xlink:type="simple"/></inline-formula>(mm)</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x14.png" xlink:type="simple"/></inline-formula>(mm)</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x15.png" xlink:type="simple"/></inline-formula>(mm)</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x16.png" xlink:type="simple"/></inline-formula>(mm)</td></tr><tr><td align="center" valign="middle" >868</td><td align="center" valign="middle" >345.6</td><td align="center" valign="middle" >199.7</td><td align="center" valign="middle" >50</td><td align="center" valign="middle" >100</td></tr><tr><td align="center" valign="middle" >915</td><td align="center" valign="middle" >327.8</td><td align="center" valign="middle" >189.5</td><td align="center" valign="middle" >47.4</td><td align="center" valign="middle" >94.8</td></tr></tbody></table></table-wrap><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> The proposed antenna structure</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54730x17.png"/></fig><sec id="s3_1"><title>3.1. Design Results</title><sec id="s3_1_1"><title>3.1.1. The Antenna’s Return Loss (RL)</title><p>As a measure of the reflected energy from a transmitted signal, <xref ref-type="fig" rid="fig2">Figure 2</xref> illustrates the maximum RL of −7.76 dB at 868 MHz.</p><p>It is practically known that the bigger the value of RL, the much less energy reflected back; the main reason of this kind of loss is due to mismatch conditions of the antenna with the input impedance. For that reason, the impedance matching will be applied which will reach to optimization results.</p></sec><sec id="s3_1_2"><title>3.1.2. The Antenna’s Impedance</title><p>The impedance analysis by Smith Chart in <xref ref-type="fig" rid="fig3">Figure 3</xref> results in mismatch where the point m<sub>1</sub> is very far from the matching point.</p><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> The return loss (RL) before impedance matching, resonance at 868 MHZ</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54730x18.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Smith chart impedance analysis</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54730x19.png"/></fig><p>Reading the current Smith Chart in <xref ref-type="fig" rid="fig3">Figure 3</xref>, the actual antenna impedance is given by the calculation of the normalized input impedances, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x20.png" xlink:type="simple"/></inline-formula>, such that<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54730x21.png" xlink:type="simple"/></inline-formula>; which give us values for the real and imaginary parts to be used during the Smith Chart impedance matching in <xref ref-type="fig" rid="fig4">Figure 4</xref>.</p></sec></sec><sec id="s3_2"><title>3.2. Impedance Matching</title><p>The Smith Chart impedance matching data points 1, 2 and 3 respectively, in <xref ref-type="fig" rid="fig4">Figure 4</xref>(a), were obtained by fixing a central frequency of 868 MHz, thus generating point 1; then by drawing a series capacitance from point 1 to point 2 and finally drawing a shunt inductance from point 2 to point 3. This means the pulling of antenna’s impedance to the central matching point. Under such conditions, the Smith chart system calculates the matching series capacitance to 4.4 pF while the shunt inductance is 8.7 nH as shown in <xref ref-type="fig" rid="fig4">Figure 4</xref>(b). The values are then implemented into the 3D model of <xref ref-type="fig" rid="fig1">Figure 1</xref> as R-L-C impedance matching circuit, R = 50 Ω being the strip feed-line’s resistance.</p></sec><sec id="s3_3"><title>3.3. Optimization Results</title><p>After building the matching circuit as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>, the new simulation results were considered optimal as presented in Figures 5-9. Those are Smith Chart impedance, radiation patterns, return loss and PCB fields overlay respectively. Regarding the capacitance and inductance sizes, the real implementation would adopt the standard manufacturing smaller sizes of such valued capacitance and inductance.</p></sec><sec id="s3_4"><title>3.4. Discussions</title><p>According to the standards [<xref ref-type="bibr" rid="scirp.54730-ref8">8</xref>]-[<xref ref-type="bibr" rid="scirp.54730-ref11">11</xref>], the impedance matching [<xref ref-type="bibr" rid="scirp.54730-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.54730-ref13">13</xref>] brings a big improvement. For example, due to that impedance matching in our model, the return loss shifts from −7.76 dB to −16.5 dB. Another proof is the measurement by Smith Chart in <xref ref-type="fig" rid="fig5">Figure 5</xref> which show the very big difference between unmatched conditions illustrated in <xref ref-type="fig" rid="fig3">Figure 3</xref>. Observing the return loss behavior in <xref ref-type="fig" rid="fig8">Figure 8</xref>, the 6.15 dB bandwidth is estimated to (0.915 - 0.826) MHz = 0.089 MHz; while for the 16.5 dB bandwidth is estimated to 0 MHz.</p></sec></sec><sec id="s4"><title>4. Conclusion</title><p>The PCB monopole s-shaped antenna design and simulation have been so successful that the obtained results are excellent, notably the omonidirectional radiation patterns shown in Figures 7-9. Due to the folding of the normally</p><fig-group id="fig4"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> (a) Smith chart impedance matching; (b) Smith chart impedance matching schematic diagram.</title></caption><fig id ="fig4_1"><label> (b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54730x22.png"/></fig><fig id ="fig4_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54730x23.png"/></fig></fig-group><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Impedance measuring by smith chart</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54730x24.png"/></fig><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> EH plane radiation pattern</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54730x25.png"/></fig><fig id="fig7"  position="float"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> 3D radiation pattern</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54730x26.png"/></fig><fig id="fig8"  position="float"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> Return loss</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54730x27.png"/></fig><fig id="fig9"  position="float"><label><xref ref-type="fig" rid="fig9">Figure 9</xref></label><caption><title> The PCB fields overlaying in two different view positions</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54730x28.png"/></fig><p>known monopole antenna into a snakelike shape, the antenna has reached to a reduced size that can be easily implemented in all miniaturized transceivers and receivers operating in ISM 868MHz as well as in ISM 915 MHz with less return loss.</p></sec><sec id="s5"><title>Acknowledgements</title><p>A lot of gratitude is addressed to the Government of People’s Republic of China to have supported and strengthened engineering research activities in the University of Science and Technology of China.</p></sec><sec id="s6"><title>Cite this paper</title><p>Gerard Rushingabigwi,Liguo Sun, (2015) Design of an 868 MHz Printed S-Shape Monopole Antenna. 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